14444201120200 has 24 divisors (see below), whose sum is σ = 33582767604930. Its totient is φ = 5777680448000.

The previous prime is 14444201120161. The next prime is 14444201120221. The reversal of 14444201120200 is 202110244441.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 14040953259876 + 403247860324 = 3747126^2 + 635018^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36110502601 + ... + 36110503000.

Almost surely, 2^{14444201120200} is an apocalyptic number.

14444201120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14444201120200 is an abundant number, since it is smaller than the sum of its proper divisors (19138566484730).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14444201120200 is a wasteful number, since it uses less digits than its factorization.

14444201120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72221005617 (or 72221005608 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 14444201120200 its reverse (202110244441), we get a palindrome (14646311364641).

The spelling of 14444201120200 in words is "fourteen trillion, four hundred forty-four billion, two hundred one million, one hundred twenty thousand, two hundred".